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AP EAMCET2013MathematicsDefinite Integration

The approximate value of ₁^3 d x 2+3 x using Simpson's rule and dividing the interval [1,3] into two equal parts is

Options

  1. A1 3 ( 11 5 )
  2. B107 110
  3. C29 110
  4. D119 440

Correct answer

C. 29 110

Step-by-step solution

Here, h= 3-1 2 =1 array c|c|c|c & 1.0 & 2.0 & 3.0 & 0.2 & 0.125 & 0.09 array aligned ₁^3 d x 2+3 x & = 1 3 (0.2+4 0.125+0.09) & = 1 3 (0.2+0.500+0.09) & = 1 3 0.79=0.263= 22 110 aligned

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